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Magoosh
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If x is the greatest common divisor of 90 and 18, and y is the least common multiple of 51 and 34, then x + y =
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Magoosh
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The city of Carina is considering implementing an Alternative Minimum Tax (AMT) for taxpayers earning more than 90% of the population, those individuals who earn more than $350,000 annually. Under this tax plan, Carina citizens in the AMT bracket would be exempt from paying taxes on the first $80,000 of their income and be taxed at a flat rate on the income thereafter. People paying the AMT would not be given allowances regular taxpayers are, such as deductions for children, healthcare expenses, or college tuition.Which of the following would be most important to determine in order to evaluate whether implementing the AMT plan would be profitable for the city of Carina?
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Magoosh
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Besides the color of its coat, the most notable characteristic of the snow leopard tends to be its heavily tufted tail, which accounts for 50% of the animal’s length and which has two notable functions: it keeps the animal warm—the leopard will wrap the tail around its head—and it can be used to dispatch small prey.
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Magoosh
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If x is an integer, is y an integer?(1) $${4x+4y}\over{2}$$=6 (2) $${3x+6y}\over{3}$$=5
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Magoosh
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It took Ellen 6 hours to ride her bike a total distance of 120 miles. For the first part of the trip, her speed was constantly 25 miles per hour. For the second part of her trip, her speed was constantly 15 miles per hour. For how many miles did Ellen travel at 25 miles per hour?
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Magoosh
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The Aquipos toucan is able to use its long beak to reach inside apertures in a tree’s bark and feed on the insects that dwell within and that are the toucan’s main food source. Several noted ornithologists have speculated that because the toucan’s beak is curved in a manner similar to the openings in the bark, the beak evolved so that the toucan can best take advantage of the insects lying deep inside. Which of the following, if true, argues most strongly against the ornithologists’ speculation?
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Magoosh
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The success of the first landing on the moon emboldened some scientists to claim that a Mars landing was imminent, vastly underestimating the difficulties entailed in such a feat.
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Magoosh
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If 4 < A < 6, n and m are positive integers with n > m, and T = A x $$10^n$$, then what is the value of T?Statement #1: $$\sqrt {A*10^m}$$=23100Statement #2: n – m = 7
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Magoosh
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If $$\frac{4}{w} + \frac{4}{x} = \frac{4}{y} and wx = y$$, then the average (arithmetic mean) of w and x is
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Magoosh
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A successful clothing department store, in a central downtown location of a certain city, is of a limited size and has grown so much over the past year that it needs to expand. There are a few other slightly larger available retail lots in the downtown regions for sale, but the prices per square foot are quite high. The management finds that cost per square foot of lots in a suburb a few miles from downtown is almost half of that in the downtown region, so they plan to relocate there to save costs. Which of the following, if true, most seriously undermines this plan?
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Magoosh
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Research into how our brains process the written word and encode this information into long-term memory have shown that the advantages in text retention conferred by a physical book far outweigh the few of an electronic reader, the physical location of the text on the page playing a major role in the ease with which that information is encoded in our brains.
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Magoosh
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If x is a positive integer ,is$$\sqrt{x}$$ an integer?(1)$$\sqrt{36x}$$ is a integer(2)$$\sqrt{3x+4}$$ is a integer
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Magoosh
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$${4^{6}-4^{5}}\over{3}$$=
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Magoosh
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Medical Investigator: "Podiatrists initially assumed that Meyer's Rash, an itchy rash between the toes, was a fungal infection similar to athlete's foot. At first, only Dr. Pannikar argued that Meyer's Rash was viral in nature. All anti-fungal medications proved utterly ineffective in addressing Meyer's Rash. Now, recent antibody studies seem to suggest, quite surprisingly, that Meyer's Rash is caused by a virus."In the medical investigator's argument, the portion in boldface plays which of the following roles?
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Magoosh
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Mount Diablo, about 40 miles inland from San Francisco, CA, is not a very high peak, with an elevation under 4000 ft., more than 10,000 ft. shorter than the tallest peaks in California, but due to its being adjacent to such a large expanse of low flat land in California's Central Valley, its viewshed ranking as one of the largest in western United States, including not only the entire San Francisco Bay Area and also the whole of the Central Valley as well, clear across to the Sierra Nevada mountains on the eastern side of the state.
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Magoosh
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If x and y are positive integers, is$$\frac{x}{y}$$ $$\lt$$ $${x+5}\over{y+5}$$?Statement #1: y = 5Statement #2: x > y
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Magoosh
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Hal has 4 girl friends and 5 boy friends. In how many different ways can Hal invite 2 girls and 2 boys to his birthday party?
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Magoosh
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Egidio's Gym has been in operation for seven years, and offers regular weekly weight training and aerobic classes, as well as occasional programs in dance and martial arts. The gym has seen a surge of new members in the past twelve months, despite keeping the same membership fee over the past three years. Of the 450 current members, more than 250 have joined in the past year. Clearly, the membership of Egidio's Gym has risen a significant amount because of its superior facilities. Which of the following is an assumption on which the argument depends?
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Magoosh
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Of all the birds of prey, maybe none is more majestic as the peregrine falcon, which reaches speeds of 200 mph during its swoops and strikes down prey at these high speeds in midair.
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Magoosh
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If wxyz $$\neq$$ 0, does the ratio of w to x equal the ratio of y to z?(1)$$\frac {w}{y}$$ = $$\frac {x}{z}$$(2) wy = xz
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